Asymptotic forms of the Ursell edge waves on a gently sloping beachIt is shown that the asymptotics of the Ursell trapping modes on a sloping beach of small slope angle alpha coincide with the inverse Fourier transform of standard WKB exponentials, i.e., the Maslov…P. Zhevandrov, A. Merzon, M. I. Romero Rodríguez·Jul 14, 2026SaveLearn
A mathematical study of periodic band inversionWe give a mathematical analysis of the periodic band inversion phenomenon observed by Tan--Devakul for an electron in a two-dimensional periodic potential coupled to a circularly polarized photon…Tyler Guo, Maciej Zworski·Jul 14, 2026SaveLearn
Analysis of quantities determining the critical inverse temperature in the annealed Potts model with Pareto vertex weightsWe consider in this work the crucial quantity tc that determines the critical inverse temperature βc in the q-state Potts model on sparse rank-1 random graphs where the vertices are equipped…A. J. E. M. Janssen·Jul 14, 2026SaveLearn
An equivalence theorem for algebraic and functorial QFTThis paper develops a novel approach to functorial quantum field theories (FQFTs) in the context of Lorentzian geometry. The key challenge is that globally hyperbolic Lorentzian bordisms between two…Severin Bunk, James MacManus, Alexander Schenkel·Jul 14, 2026SaveLearn
Proof of Zamolodchikov conjecture for semi-classical conformal blocks on the torusIn 1986, Zamolodchikov conjectured an exponential structure for the semi-classical limit of conformal blocks on a sphere. This paper provides a rigorous proof of the analog of Zamolodchikov…Harini Desiraju, Promit Ghosal, Andrei Prokhorov·Jul 14, 2026SaveLearn
Exact topology of conservative multiplicative cascades: An ultrametric transfer-operator genusThe multiplicative cascade is a well-known method for generating random fields that are both genuinely non-Gaussian and scale invariant. Its one-point and scaling statistics, namely the multifractal…Cristiano G. Sabiu·Jul 13, 2026SaveLearn
Expansion of the planetary Hamiltonian for small eccentricities and inclinations: a vector formalismWe revisit the classical expansion of the planetary Hamiltonian for small eccentricities and mutual inclinations of the orbits, presenting a derivation based entirely on vector formalism. We…Federico Mogavero·Jul 13, 2026SaveLearn
On The Eigenvalue Rigidity of the Laguerre Unitary EnsembleIn this paper, we establish an optimal global rigidity estimate for the eigenvalues of the Laguerre unitary ensemble. Using the central limit theorem, we first construct a random measure via the…Chenhao Lu, Xiaolu Yue·Jul 13, 2026SaveLearn
Correlated and uncorrelated long--time asymptotics of type D ASEPThe type D ASEP is an asymmetric two--species interacting particle system on , in which two separately conserved species hop, bind into a composite ``bound pair'', and split. The model,…Jeffrey Kuan·Jul 13, 2026SaveLearn
Beyond Critical Slowing Down: Slow Modes, Extreme Tails, and Field Decoherence in Tipping TransitionsWe study early-warning signals of climate tipping in the metastable stochastic Ghil--Sellers energy balance model. Rather than relying on a single scalar indicator, we analyze the transition through…Mickaël D. Chekroun, Valerio Lucarini·Jul 13, 2026SaveLearn
On a Rosenzweig-Porter-type modelWe consider a very general Rosenzweig-Porter-type model, H=H0+λW, where H0 is an arbitrary Hermitian matrix and W is a standard Wigner matrix. We precisely trace the localization properties…Giorgio Cipolloni, László Erdős, Joscha Henheik·Jul 13, 2026SaveLearn
Passive two-plateau relaxation from Tricomi confluent hypergeometric kernelsAnomalous relaxation with memory spectra arises in disordered solids, soft matter, biological tissues and electrochemical interfaces. Fractional-order models capture broad power-law behaviour…Marc Tudela-Pi, Ivano Colombaro·Jul 13, 2026SaveLearn
Dirac Fields in Hydrodynamic Form and their Thermodynamic FormulationWe consider the theory of spinor fields written in polar form and we re-express it in terms of the so-called 1\!+\!1\!+\!2 covariant splitting: after this is done for the basic kinematic variables,…Luca Fabbri, Stefano Vignolo, Giuseppe De Maria et al.·Jul 13, 2026SaveLearn
On light cone bounds for Markov quantum open systemsWe study space-time behaviour of solutions of the von Neumann-Lindblad equations underlying the dynamics of Markov quantum open systems. For a large class of these equations, we prove the existence…Israel Michael Sigal, Xiaoxu Wu·Jul 13, 2026SaveLearn
Long-Moody construction of braid group representations and Haraoka's multiplicative middle convolution for KZ-type equationsWe establish a correspondence between the algebraic and analytic approaches to constructing representations of the braid group Bn: the Katz--Long--Moody construction and the multiplicative middle…Haru Negami·Jul 13, 2026SaveLearn
Global Gauge Symmetries and Spatial Asymptotic Boundary Conditions in Yang-Mills TheoryIn Yang-Mills theory on a Euclidean Cauchy surface, the physical gauge group is often taken to be GI/G∞0, where GI consists of boundary-preserving gauge…Silvester G. A. Borsboom, Hessel B. Posthuma·Jul 13, 2026SaveLearn
Jordan Pair Quantum Theory and the Standard ModelJordan pairs and hermitian Jordan triples were discovered by mathematicians studying Jordan algebras, which describe the possible algebras of observables in quantum mechanics. We point out a striking…John C. Baez, Endre Bokor, Latham Boyle·Jul 12, 2026SaveLearn
Rigorous bound on the aspect ratio for the formation of a nematic phase in hard rod and hard rectangle systems on Z2We prove the existence of a nematic phase in a model of l× w hard rectangles on the square lattice with two allowed orientations and a large aspect ratio k:=l/w. The proof is based on a…Qidong He·Jul 12, 2026SaveLearn
Cohomological beta functionWe propose a cohomological approach to computing the conformal anomaly. Using the example of current-current deformations of two-dimensional conformal field theories, we reproduce the well-known…Oleksandr Gamayun, Maxim Gritskov, Andrey Losev·Jul 12, 2026SaveLearn
On the integrability structure of the deformed rule-54 reversible cellular automatonWe study quantum and stochastic deformations of the rule-54 reversible cellular automaton (RCA54) on a 1+1-dimensional spatiotemporal lattice, focusing on their integrability structures in two…Chiara Paletta, Tomaž Prosen·Jul 12, 2026SaveLearn
Generalized forms of types N = 1, 2 and higher gauge theoryIn this paper, we give a compact formulation of strict higher gauge theory based on generalized (differential) forms that package fields of multiple form degrees into a single variable. We define…Danhua Song, Mengyao Wu·Jul 12, 2026SaveLearn
Path-Dependent Entropic Lagrangian for Probability Flows: Balance--Entropy Routing and Composable Information PotentialsProbability distributions are central to information theory, statistical inference, and modern probabilistic learning. Maximum entropy selects a probability state under prescribed constraints, but it…Huilong Ren·Jul 11, 2026SaveLearn
The existence of full dimensional KAM tori for infinite dimensional Hamiltonian systems with long range interactionsWe prove the existence of full dimensional KAM tori for infinite dimensional mechanical systems exhibiting long range interactions, under a Diophantine condition of Bourgain type [Bourgain2005JFA],…Hongzi Cong, Wanran Ding, Zhihan Zhang et al.·Jul 11, 2026SaveLearn
On Support Cardinality for the Discrete Schrödinger EquationHow sparse can a nontrivial solution of a discrete Schrödinger equation be? In this note we study Dirichlet solutions on a finite d-dimensional lattice box, allowing an arbitrary real potential,…Linjun Li·Jul 11, 2026SaveLearn
Robustness of Valley-Hall Interface Modes Against Sharp BendingIt is well known that band inversion across a straight interface in a periodic medium gives rise to interface modes that are localized near the interface and propagate along it inside the bulk…Habib Ammari, Jiayu Qiu·Jul 11, 2026SaveLearn